The steps below indicate some of the steps necessary to construct a tangent line from a point outside a given circle to the circle. The steps are not in order. I Construct the midpoint of l. II Draw an arc that intersects with the circle. III Draw a straight line, l, between the center of the circle to the given point outside the circle. IV Draw a line connecting the given point outside the circle to the point where the arc intersects the circle. What is the correct order of the steps above?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
| I | Construct the midpoint of l. |
| II | Draw an arc that intersects with the circle. |
| III | Draw a straight line, l, between the center of the circle to the given point outside the circle. |
| IV | Draw a line connecting the given point outside the circle to the point where the arc intersects the circle. |
What is the correct order of the steps above?
| A) |
III, II, I, IV
|
| B) |
III, I, II, IV
|
| C) |
III, IV, II, I
|
| D) |
III, I, IV, II
|
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